/*
* INSANE - Interactive Structural Analysis Environment
*
* Copyright (C) 2003-2005
* Universidade Federal de Minas Gerais
* Escola de Engenharia
* Departamento de Engenharia de Estruturas
* 
* Author's email :    insane@dees.ufmg.br
* Author's website :  http://www.dees.ufmg.br/insane
* 
* This program is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License
* as published by the Free Software Foundation; either version 2
* of the License, or any later version.
* 
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
* GNU General Public License for more details.
* 
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA  02111-1307, USA.
*/
package br.ufmg.dees.insane.model.disc.shape;

import br.ufmg.dees.insane.model.disc.element.FrameElement;
import br.ufmg.dees.insane.util.IVector;

/**
*A class representing a linear shape in one dimension and cartesian coordinates.
*
*@author Fonseca, Flavio & Pitangueira, Roque
*@version 1.0
*@since September 2003
*@see model.discrete.element.FrameElement
*/

public class Linear1DCart extends Shape1DCart {
	
	private static final long serialVersionUID = 1L;

	/** Constructs a Linear1DCart shape and sets its type to "Linear1DCart".*/
	public Linear1DCart() {
		type = "Linear1DCart";
	};
	
//********************************************************************************
	
	/** Returns the shape function for this type of Shape, evaluated for the specified FrameElement and point (local X axis).
	*@return The shape function for this type of Shape, evaluated for the specified FrameElement and point (local X axis).
	*@param elm The specified FrameElement.
	*@param a The specified point (local X axis).
	*/
	public IVector getShapeFunction(FrameElement elm, double a) {
		IVector n = new IVector(2);
		n.setElement(0, 1-(a / elm.getLength()));
		n.setElement(1, a / elm.getLength());
		return (n);
	};
	
//********************************************************************************
	
	/** Returns the derived shape function for this type of Shape, evaluated for the specified FrameElement and point (local X axis).
	*@return The derived shape function for this type of Shape, evaluated for the specified FrameElement and point (local X axis).
	*@param elm The specified FrameElement.
	*@param a The specified point (local X axis).
	*/
	public IVector getDerivedShapeFunction(FrameElement elm, double a) {
		IVector n = new IVector(2);
		n.setElement(0, -1/elm.getLength());
		n.setElement(1, 1/elm.getLength());
		return (n);
	};
	
//********************************************************************************
	
	/** Returns the integrated shape function for this type of Shape, evaluated for the specified FrameElement and limits of integration.
	*@return The integrated shape function for this type of Shape, evaluated for the specified FrameElement and limits of integration.
	*@param elm The specified FrameElement.
	*@param a The initial limit of integration.
	*@param b The final limit of integration.
	*/
	public IVector getIntegratedShapeFunction(FrameElement elm, double a, double b) {
		IVector n = new IVector(2);
		double l = elm.getLength();
		double n0 = (b - b*b/(2*l)) - (a - a*a/(2*l));
		double n1 = (b*b/(2*l)) - (a*a/(2*l));
		n.setElement(0, n0);
		n.setElement(1, n1);
		return (n);
	};
	
//********************************************************************************
	
	/** Returns the integrated shape function multiplied by x for this type of Shape, evaluated for the specified FrameElement and limits of integration.
	*@return The integrated shape function multiplied by x for this type of Shape, evaluated for the specified FrameElement and limits of integration.
	*@param elm The specified FrameElement.
	*@param a The initial limit of integration.
	*@param b The final limit of integration.
	*/
	public IVector getIntegratedShapeFunctionMultX(FrameElement elm, double a, double b) {
		IVector n = new IVector(2);
		double l = elm.getLength();
		double n0 = (b*b/2 - b*b*b/(3*l)) - (a*a/2 - a*a*a/(3*l));
		double n1 = (b*b*b/(3*l)) - (a*a*a/(3*l));
		n.setElement(0, n0);
		n.setElement(1, n1);
		return (n);
	}

    public IVector getSecondDerivedShapeFunction(FrameElement elm, double a) {
        IVector n = new IVector(2);
        n.setElement(0, -1/elm.getLength());
        n.setElement(1, 1/elm.getLength());
        return (n);
    };
	
//********************************************************************************
	
}
